Some Thoughts on Atmospheric Systems

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SUMMARY

This discussion emphasizes that atmospheric systems are open, dynamic, and non-equilibrium systems, characterized by continuous exchanges of matter and energy with their environments. Key concepts include the indeterminate nature of system mass and volume, the variability of pressure and temperature, and the presence of water in various phases. The limitations of applying gas laws to atmospheric systems are highlighted, as they often require conditions of equilibrium that do not exist in real atmospheric scenarios. The conversation also touches on advancements in meteorological forecasting and the challenges posed by chaotic behavior in atmospheric models.

PREREQUISITES
  • Understanding of open systems in atmospheric sciences
  • Familiarity with gas laws and their applicability
  • Knowledge of meteorological forecasting techniques
  • Basic principles of chaos theory in atmospheric modeling
NEXT STEPS
  • Research the principles of open systems in atmospheric dynamics
  • Study the limitations of gas laws in non-equilibrium conditions
  • Explore advancements in meteorological forecasting technologies
  • Investigate the application of chaos theory in atmospheric models
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Meteorologists, atmospheric scientists, and anyone interested in understanding the complexities of weather systems and forecasting challenges.

klimatos
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Atmospheric sciences are—much like the sister science of astronomy—primarily observational sciences and not primarily experimental sciences. The atmospheric systems that we study are not well-defined systems under controlled conditions, but ill-defined systems under completely uncontrolled conditions. Let me elaborate on this concept:

1. Atmospheric systems are open systems. They are neither isolated nor closed. There are continuous interchanges of both matter and energy between free atmospheric systems and their environments.

2. Both system masses (M) and system volumes (V) are indeterminate as a consequence of these interchanges. Both the spatial boundaries and the temporal boundaries of atmospheric systems are vague and ill-defined. Atmospheric systems are not separate from their environments, but are vigorously mingling and interacting with them. Expressions that require a definite value for either system mass or system volume have limited applicability to the study of the free atmosphere.

3. Within any atmospheric system, the values for pressure, temperature, and molecular number density are continuously changing. This change is from place to place within the system at any given instant, and from time to time at any given location. This is why these variable are shown as means (bar over parameter designation) in most atmospheric studies rather than uniform values (no bar) as in many laboratory studies. We prefer to speak of system temperatures and pressures (plural) rather than system temperature and pressure (singular). This usage recognizes the dynamic nature of atmospheric systems.

4. Atmospheric systems all contain water vapor. Most weather systems contain liquid water and/or solid water (ice) as well. Since the triple-point for water (273.16K) is well within the normal range of atmospheric temperatures, changes of phase are common occurrences in atmospheric systems. Hence, observations based on the behavior of dry air under laboratory conditions are of limited value in understanding the operation of real free atmospheric systems.

5. Atmospheric systems are non-equilibrium systems. All atmospheric systems in the real free atmosphere are dynamic systems. Change is the essence of weather systems. Weather systems are never under conditions of equilibrium.

If you are looking at a real atmospheric system, you may safely assume that it is not functioning under conditions of equilibrium. A tiny little “dust devil” at the corner of a building is a good example of a simple atmospheric system. A cumulonimbus cloud is a somewhat more complex atmospheric system. Neither is ever operating under conditions of equilibrium.

[I define a "real" system as one whose parameters were obtained by observation and measurement--not through postulates or hypotheses. I define a "free" system as one that is not contained or restricted in any way.]

Summary. Very few—if any—gas laws are universal. Many of them apply only to ideal gases, and many others require conditions of equilibrium to be valid. Some require that an atmospheric parameter be held constant while one or more others are varied. This is simply not going to happen with free atmospheric systems.

Generally speaking, when considering the application of a particular gas law to any atmospheric system, you should also consider the many prerequisites that must exist for that law to be valid.
 
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I'm not sure if your trying to make a point beyond what you stated, but I'll respond with some of my own thoughts.

Meteorology is certainly a challenging science - and now it's expanding to extra terrestrial domains.
My most intensive introduction to the subject was about 35 years ago when I was studying for my pilot's license.

Despite those difficulties, forecasting ability has improved enormously over the decades. From my own experience, 35 years ago in the Virginia area they were often unable to accurately report current winds aloft or predict thunderstorms for later in the day with any reliability.

Today, 10 day forecasts are not bad. On the other hand, over the past decade, predictions for the upcoming hurricane seasons have been less reliable than random guessing.
 
One of the problems with atmospheric models is that there often are situations which look very similar to previous ones.
Based on the previous data, a model will predict a similar outcome, (within some margin of error),
but it sometimes happens that some tiny difference blows up to become a dominant feature which changes the whole prognosis.
There have been attempts to introduce chaos theory into the models and this does at least have the effect of making the error margins more reliable.
 

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